34124030431261 has 2 divisors, whose sum is σ = 34124030431262. Its totient is φ = 34124030431260.

The previous prime is 34124030431237. The next prime is 34124030431277. The reversal of 34124030431261 is 16213403042143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20476584311236 + 13647446120025 = 4525106^2 + 3694245^2 .

It is a cyclic number.

It is not a de Polignac number, because 34124030431261 - 2¹⁹ = 34124029906973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34124030434261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17062015215630 + 17062015215631.

It is an arithmetic number, because the mean of its divisors is an integer number (17062015215631).

Almost surely, 2^{34124030431261} is an apocalyptic number.

It is an amenable number.

34124030431261 is a deficient number, since it is larger than the sum of its proper divisors (1).

34124030431261 is an equidigital number, since it uses as much as digits as its factorization.

34124030431261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 34124030431261 in words is "thirty-four trillion, one hundred twenty-four billion, thirty million, four hundred thirty-one thousand, two hundred sixty-one".